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12793731012 = 2232355381417
BaseRepresentation
bin10111110101001000…
…01101011111000100
31020000121122212121100
423322210031133010
5202200143343022
65513302020100
7632016630216
oct137244153704
936017585540
1012793731012
115475800517
122590717630
13128b73114a
148951d45b6
154ed2aa1ac
hex2fa90d7c4

12793731012 has 18 divisors (see below), whose sum is σ = 32339709038. Its totient is φ = 4264576992.

The previous prime is 12793730977. The next prime is 12793731019. The reversal of 12793731012 is 21013739721.

It is a happy number.

12793731012 is a `hidden beast` number, since 1 + 279 + 373 + 1 + 0 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12738733956 + 54997056 = 112866^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×127937310124 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 355381417 = 12793731012 / (1 + 2 + 7 + 9 + 3 + 7 + 3 + 1 + 0 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (12793731019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177690673 + ... + 177690744.

Almost surely, 212793731012 is an apocalyptic number.

12793731012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12793731012 is an abundant number, since it is smaller than the sum of its proper divisors (19545978026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12793731012 is a wasteful number, since it uses less digits than its factorization.

12793731012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355381427 (or 355381422 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 12793731012 in words is "twelve billion, seven hundred ninety-three million, seven hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 355381417 710762834 1066144251 1421525668 2132288502 3198432753 4264577004 6396865506 12793731012